30(36-6.5x)=11(6x-10)+41.6

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Solution for 30(36-6.5x)=11(6x-10)+41.6 equation:


Simplifying
30(36 + -6.5x) = 11(6x + -10) + 41.6
(36 * 30 + -6.5x * 30) = 11(6x + -10) + 41.6
(1080 + -195x) = 11(6x + -10) + 41.6

Reorder the terms:
1080 + -195x = 11(-10 + 6x) + 41.6
1080 + -195x = (-10 * 11 + 6x * 11) + 41.6
1080 + -195x = (-110 + 66x) + 41.6

Reorder the terms:
1080 + -195x = -110 + 41.6 + 66x

Combine like terms: -110 + 41.6 = -68.4
1080 + -195x = -68.4 + 66x

Solving
1080 + -195x = -68.4 + 66x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-66x' to each side of the equation.
1080 + -195x + -66x = -68.4 + 66x + -66x

Combine like terms: -195x + -66x = -261x
1080 + -261x = -68.4 + 66x + -66x

Combine like terms: 66x + -66x = 0
1080 + -261x = -68.4 + 0
1080 + -261x = -68.4

Add '-1080' to each side of the equation.
1080 + -1080 + -261x = -68.4 + -1080

Combine like terms: 1080 + -1080 = 0
0 + -261x = -68.4 + -1080
-261x = -68.4 + -1080

Combine like terms: -68.4 + -1080 = -1148.4
-261x = -1148.4

Divide each side by '-261'.
x = 4.4

Simplifying
x = 4.4

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